Theoretical Analysis of Geographic Routing in Social Networks
Author(s)Kumar, Ravi; Liben-Nowell, David; Novak, Jasmine; Raghavan, Prabhakar; Tomkins, Andrew
Theory of Computation
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We introduce a formal model for geographic social networks, and introduce the notion of rank-based friendship, in which the probability that a person v is a friend of a person u is inversely proportional to the number of people w who live closer to u than v does. We then prove our main theorem, showing that rank-based friendship is a sufficient explanation of the navigability of any geographic social network that adheres to it.
Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory